I have a bug shield and a similar noise. In my truck it sounds like it is at the top of the windshield on the passenger side. Similar sounds to when rain droplets fly off the hood and hit the windshield.

I just noticed a similar noise this morning on my way to work. Almost sounded like radio static coming through the A pillar speakers but I turned the radio off noise persisted. Just installed a WeatherTech bug deflector a few days ago, wondering if that could be creating the noise...